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Q.

A person walks at the rate of 3 km/hr. Rain appears to him in vertical direction at the rate of 33km/hr. Find the magnitude and direction of true velocity of rain.

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a

6 km/hr, inclined at an angle of 45o to the vertical towards the person's motion.

b

3 km/hr, inclined at an angle of 30o to the vertical towards the person's motion.

c

6 km/hr, inclined at an angle of 30o to the vertical towards the person's motion.

d

6 km/hr, inclined at an angle of 60o to the vertical towards the person's motion.

answer is C.

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Detailed Solution

v→r/m=v→r−v→mv→r=v→r/m+v→mv→r=vr/m2+vm2 =(3)2+(33)2=6km/hrtan⁡θ=333=13⇒θ=30∘
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